Question

if x=3√2+√3 then what is the value of x³+1/x³

Answer 1

x = 1

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Answer 2

Answer:

(x + 1/x) × (x² - 1 + 1/x²)

Step-by-step explanation:

Q. The value of x³ + 1/x³

Ans.: x³ + 1/x³

Use a³ + b³ = (a + b) (a² - ab + b²) to factor the expression.

$(x + \frac{1}{x}) \times (x ^{2} - \frac{x}{x}+\frac{1}{x^{2}})$

Any expression divided by itself equals 1.

$= (x + \frac{1}{x} ) \times ( {x}^{2} - 1 + \frac{ {1} }{x {}^{2} })$

Ans :-

• (x + 1/x) × (x² - 1 + 1/x²)